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Finding the Fourth Proportional to 7,139.88, 10,707.16 and 2,458.58

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Solution

The fourth proportional to 7,139.88, 10,707.16 and 2,458.58 is: 3,686.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.88 : 10,707.16 = 2,458.58 : x
  2. Step 2: Convert to fraction form
    7,139.88/10,707.16 = 2,458.58/x
  3. Step 3: Cross multiply
    7,139.88x = 10,707.16 × 2,458.58
  4. Step 4: Simplify right side
    7,139.88x = 26,324,409.43
  5. Step 5: Solve for x
    x = 26,324,409.43/7,139.88
  6. Step 6: Final answer
    x = 3,686.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.